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Finding the Fourth Proportional to 106,877.89, 147,478.52 and 61,570.54

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Solution

The fourth proportional to 106,877.89, 147,478.52 and 61,570.54 is: 84,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,877.89 : 147,478.52 = 61,570.54 : x
  2. Step 2: Convert to fraction form
    106,877.89/147,478.52 = 61,570.54/x
  3. Step 3: Cross multiply
    106,877.89x = 147,478.52 × 61,570.54
  4. Step 4: Simplify right side
    106,877.89x = 9,080,331,669.14
  5. Step 5: Solve for x
    x = 9,080,331,669.14/106,877.89
  6. Step 6: Final answer
    x = 84,959.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.